5(2x+4)=3(x+15)-19

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Solution for 5(2x+4)=3(x+15)-19 equation:


Simplifying
5(2x + 4) = 3(x + 15) + -19

Reorder the terms:
5(4 + 2x) = 3(x + 15) + -19
(4 * 5 + 2x * 5) = 3(x + 15) + -19
(20 + 10x) = 3(x + 15) + -19

Reorder the terms:
20 + 10x = 3(15 + x) + -19
20 + 10x = (15 * 3 + x * 3) + -19
20 + 10x = (45 + 3x) + -19

Reorder the terms:
20 + 10x = 45 + -19 + 3x

Combine like terms: 45 + -19 = 26
20 + 10x = 26 + 3x

Solving
20 + 10x = 26 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
20 + 10x + -3x = 26 + 3x + -3x

Combine like terms: 10x + -3x = 7x
20 + 7x = 26 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + 7x = 26 + 0
20 + 7x = 26

Add '-20' to each side of the equation.
20 + -20 + 7x = 26 + -20

Combine like terms: 20 + -20 = 0
0 + 7x = 26 + -20
7x = 26 + -20

Combine like terms: 26 + -20 = 6
7x = 6

Divide each side by '7'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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